995 research outputs found
Interference between the halves of a double-well trap containing a Bose-Einstein condensate
Interference between the halves of a double-well trap containing a
Bose-Einstein condensate is studied. It is found that when the atoms in the two
wells are initially in the coherent state, the intensity exhibits collapses and
revivals, but it does not for the initial Fock states. Whether the initial
states are in the coherent states or in a Fock states, the fidelity time has
nothing to do with collision. We point out that interference and its fidelity
can be adjusted experimentally by properly preparing the number and initial
states of the system.Comment: 10 pages, 3 figures, accepted by Phy. rev.
Neutrinos with Lorentz-violating operators of arbitrary dimension
The behavior of fermions in the presence of Lorentz and CPT violation is
studied. Allowing for operators of any mass dimension, we classify all
Lorentz-violating terms in the quadratic Lagrange density for free fermions.
The result is adapted to obtain the effective hamiltonian describing the
propagation and mixing of three flavors of left-handed neutrinos in the
presence of Lorentz violation involving operators of arbitrary mass dimension.
A characterization of the neutrino coefficients for Lorentz violation is
provided via a decomposition using spin-weighted spherical harmonics. The
restriction of the general theory to various special cases is discussed,
including among others the renormalizable limit, the massless scenario,
flavor-blind and oscillation-free models, the diagonalizable case, and several
isotropic limits. The formalism is combined with existing data on neutrino
oscillations and kinematics to extract a variety of measures of coefficients
for Lorentz and CPT violation. For oscillations, we use results from the
short-baseline experiments LSND and MiniBooNE to obtain explicit sensitivities
to effects from flavor-mixing Lorentz-violating operators up to mass dimension
10, and we present methods to analyze data from long-baseline experiments. For
propagation, we use time-of-flight measurements from the supernova SN1987A and
from a variety of experiments including MINOS and OPERA to constrain
oscillation-free Lorentz-violating operators up to mass dimension 10, and we
discuss constraints from threshold effects in meson decays and Cherenkov
emission.Comment: 35 pages two-column REVTe
Filled Landau levels in neutral quantum gases
We consider the signatures of the Integer Quantum Hall Effect in a degenerate
gas of electrically neutral atomic fermions. An effective magnetic field is
achieved by applying two incident light beams with a high orbital angular
momentum. We show how states corresponding to completely filled Landau levels
are obtained and discuss various possibilities to measure the incompressible
nature of the trapped two-dimensional gasComment: Minor corrections. Phys. Rev. A, 053632 (2005). High resolution
figures can be obtained from the author
Atom optical elements for Bose condensates
A simple model for atom optical elements for Bose condensate of trapped,
dilute alkali atomns is proposed and numerical simulations are presented to
illustrate its characteristics. We demonstrate ways of focusing and splitting
the condensate by modifying experimentally adjustable parameters. We show that
there are at least two ways of implementing atom optical elements: one may
modulate the interatomic scattering length in space, or alternatively, use a
sinusoidal, externally applied potential.Comment: 7 pages, 10 figure
Collapses and revivals in the interference between two Bose-Einstein condensates formed in small atomic samples
We investigate the quantum interference between two Bose-Einstein condensates
formed in small atomic samples composed of a few thousand atoms both by
imposing Bose broken gauge symmetry from the outset and also using an explicit
model of atomic detection. In the former case we show that the macroscopic wave
function collapses and revives in time, and we calculate the characteristic
times for current experiments. Collapses and revivals are also predicted in the
interference between two Bose-Einstein condensates which are initially in Fock
states, a relative phase between the condensates being established via atomic
detections corresponding to uncertainty in the number difference between them.Comment: 17 pages, 3 PostScript figure, submitted to PR
Condensate fraction and critical temperature of a trapped interacting Bose gas
By using a mean field approach, based on the Popov approximation, we
calculate the temperature dependence of the condensate fraction of an
interacting Bose gas confined in an anisotropic harmonic trap. For systems
interacting with repulsive forces we find a significant decrease of the
condensate fraction and of the critical temperature with respect to the
predictions of the non-interacting model. These effects go in the opposite
direction compared to the case of a homogeneous gas. An analytic result for the
shift of the critical temperature holding to first order in the scattering
length is also derived.Comment: 8 pages, REVTEX, 2 figures, also available at
http://anubis.science.unitn.it/~oss/bec/BEC.htm
Pumping two dilute gas Bose-Einstein condensates with Raman light scattering
We propose an optical method for increasing the number of atoms in a pair of
dilute gas Bose-Einstein condensates. The method uses laser-driven Raman
transitions which scatter atoms between the condensate and non-condensate atom
fractions. For a range of condensate phase differences there is destructive
quantum interference of the amplitudes for scattering atoms out of the
condensates. Because the total atom scattering rate into the condensates is
unaffected the condensates grow. This mechanism is analogous to that
responsible for optical lasing without inversion. Growth using macroscopic
quantum interference may find application as a pump for an atom laser.Comment: 4 pages, no figure
Bose--Einstein solitons in highly asymmetric traps
We obtain analytic solutions to the Gross-Pitaevskii equation with negative
scattering length in highly asymmetric traps. We find that in these traps the
Bose--Einstein condensates behave like quasiparticles and do not expand when
the trapping in one direction is eliminated. The results can be applicable to
the control of the motion of Bose--Einstein condensates.Comment: 12 pages, Latex, Figures available under request on
[email protected]
Dynamics of a Bose-Einstein Condensate in an Anharmonic Trap
We present a theoretical model to describe the dynamics of Bose-Einstein
condensates in anharmonic trapping potentials. To first approximation the
center-of-mass motion is separated from the internal condensate dynamics and
the problem is reduced to the well known scaling solutions for the Thomas-Fermi
radii. We discuss the validity of this approach and analyze the model for an
anharmonic waveguide geometry which was recently realized in an experiment
\cite{Ott2002c}
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